The On-Line Encyclopedia of Integer Sequences® (OEIS®)

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The On-Line Encyclopedia of Integer Sequences® (OEIS®)

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Revision History for A198752

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A198752

Decimal expansion of the least x>0 that gives the absolute minimum of f(x)+f(2x)+f(3x)+f(4x)+f(5x), where f(x)=sin(x)-cos(x).
(history; published version)

#5 by Russ Cox at Fri Mar 30 18:57:56 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Oct 29 2011

Discussion
Fri Mar 30	18:57	OEIS Server: https://oeis.org/edit/global/285

#4 by T. D. Noe at Sat Oct 29 18:14:16 EDT 2011

STATUS

proposed

approved

#3 by Clark Kimberling at Sat Oct 29 18:07:15 EDT 2011

STATUS

editing

proposed

#2 by Clark Kimberling at Sat Oct 29 17:40:29 EDT 2011

	NAME	`allocatedDecimal expansion of the least x>0 that gives the absolute minimum forof Clarkf(x)+f(2x)+f(3x)+f(4x)+f(5x), where Kimberlingf(x)=sin(x)-cos(x).`
	DATA	`6, 0, 6, 9, 5, 0, 0, 3, 9, 3, 9, 6, 7, 0, 1, 1, 0, 2, 9, 2, 9, 3, 5, 7, 6, 2, 5, 3, 8, 5, 7, 0, 4, 5, 4, 2, 3, 8, 2, 3, 1, 7, 3, 5, 9, 9, 5, 5, 3, 8, 8, 9, 6, 1, 9, 4, 8, 0, 3, 1, 2, 1, 8, 0, 4, 9, 2, 7, 4, 6, 8, 9, 2, 5, 9, 6, 9, 2, 3, 5, 2, 9, 8, 8, 5, 8, 3, 4, 4, 7, 9, 4, 1, 8, 3, 5, 3, 0, 0, 0`
	OFFSET	`1,1`
	COMMENTS	`See A198745 for a guide to related sequences.`
	EXAMPLE	`x=6.069500393967011029293576253857045423823...` `min=-6.682126364889810370734279330610851580...`
	MATHEMATICA	`f[t_] := Sin[t] - Cos[t]` `n = 5; s[t_] := Sum[f[kt], {k, 1, n}]` `x = N[Minimize[s[t], t], 110]; u = Part[x, 1]` `v = t /. Part[x, 2]` `RealDigits[u] ( A198751 )` `RealDigits[v] ( A198752 *)` `Plot[s[t], {t, -2 Pi, 2 Pi}, PlotRange -> {-7, 4.5}]`
	CROSSREFS	`Cf. A198745.`
	KEYWORD	`allocated` `nonn,cons`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Oct 29 2011`
	STATUS	`approved` `editing`

#1 by Clark Kimberling at Sat Oct 29 09:38:51 EDT 2011

	NAME	`allocated for Clark Kimberling`
	KEYWORD	`allocated`
	STATUS	`approved`

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Last modified September 11 05:04 EDT 2024. Contains 375814 sequences. (Running on oeis4.)